Finding the Third Proportional to 205.41 and 433.31

Step by Step Solution

1. Step 1: Write the proportion equation
   205.41 : 433.31 = 433.31 : x
2. Step 2: Convert to fraction form
   205.41/433.31 = 433.31/x
3. Step 3: Cross multiply
   205.41x = 433.31 × 433.31
4. Step 4: Simplify right side
   205.41x = 187,759.72
5. Step 5: Solve for x
   x = 187,759.72/205.41
6. Step 6: Final answer
   x = 914.09